Details

analyze851.0ms (8.5%)

Algorithm

1×	search
2×	egg-herbie

Rules

832×	`unsub-neg_binary64_21555`
571×	`neg-sub0_binary64_21556`
498×	`neg-mul-1_binary64_21557`
448×	`+-commutative_binary64_21491`
352×	`distribute-rgt-in_binary64_21511`
329×	`associate--r-_binary64_21500`
275×	`distribute-neg-out_binary64_21523`
265×	`associate--l-_binary64_21499`
258×	`associate-+l+_binary64_21494`
256×	`associate-+r+_binary64_21493`
255×	`distribute-lft-neg-out_binary64_21520`
242×	`sub-neg_binary64_21554`
238×	`distribute-rgt-out_binary64_21514`
236×	`distribute-neg-in_binary64_21522`
234×	`distribute-lft-in_binary64_21510`
215×	`distribute-rgt-neg-out_binary64_21521`
161×	`associate-r_binary64_21501`
140×	`distribute-rgt-neg-in_binary64_21519`
119×	`associate-+l-_binary64_21496`
116×	`associate-l_binary64_21502`
104×	`associate--r+_binary64_21497` `*-commutative_binary64_21492`
99×	`sub0-neg_binary64_21548`
88×	`--rgt-identity_binary64_21547`
80×	`remove-double-neg_binary64_21549`
77×	`distribute-rgt-out--_binary64_21515`
62×	`distribute-lft-neg-in_binary64_21518`
48×	`cancel-sign-sub-inv_binary64_21527`
40×	`associate-+r-_binary64_21495`
34×	`mul0-rgt_binary64_21544` `mul0-lft_binary64_21543`
32×	`mul-1-neg_binary64_21553`
28×	`associate--l+_binary64_21498`
24×	`distribute-lft-out_binary64_21512`
23×	`distribute-lft1-in_binary64_21516`
22×	`+-rgt-identity_binary64_21546`
11×	`distribute-rgt1-in_binary64_21517`
10×	`*-rgt-identity_binary64_21551`
8×	`distribute-lft-out--_binary64_21513`
6×	`*-lft-identity_binary64_21550`
1×	`1-exp_binary64_21605`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_21824` `erf-erfc_binary64_21823` `erf-odd_binary64_21822` `if-if-and-not_binary64_21821` `if-if-and_binary64_21820` `if-if-or-not_binary64_21819` `if-if-or_binary64_21818` `if-not_binary64_21817` `if-same_binary64_21816` `if-false_binary64_21815` `if-true_binary64_21814` `not-gte_binary64_21813` `not-lte_binary64_21812` `not-gt_binary64_21811` `not-lt_binary64_21810` `gte-same_binary64_21809` `lte-same_binary64_21808` `gt-same_binary64_21807` `lt-same_binary64_21806` `sinh---cosh_binary64_21753` `sinh-+-cosh_binary64_21752` `sinh-cosh_binary64_21751` `tanh-def-c_binary64_21750` `tanh-def-b_binary64_21749` `tanh-def-a_binary64_21748` `cosh-def_binary64_21747` `sinh-def_binary64_21746` `tan-neg_binary64_21693` `cos-neg_binary64_21692` `sin-neg_binary64_21691` `tan-0_binary64_21690` `cos-0_binary64_21689` `sin-0_binary64_21688` `hang-m-tan_binary64_21687` `hang-p-tan_binary64_21686` `hang-m0-tan_binary64_21685` `hang-p0-tan_binary64_21684` `hang-0m-tan_binary64_21683` `hang-0p-tan_binary64_21682` `tan-+PI/2_binary64_21681` `tan-+PI_binary64_21680` `tan-PI_binary64_21679` `tan-PI/3_binary64_21678` `tan-PI/4_binary64_21677` `tan-PI/6_binary64_21676` `cos-+PI/2_binary64_21675` `cos-+PI_binary64_21674` `cos-PI_binary64_21673` `cos-PI/2_binary64_21672` `cos-PI/3_binary64_21671` `cos-PI/4_binary64_21670` `cos-PI/6_binary64_21669` `sin-+PI/2_binary64_21668` `sin-+PI_binary64_21667` `sin-PI_binary64_21666` `sin-PI/2_binary64_21665` `sin-PI/3_binary64_21664` `sin-PI/4_binary64_21663` `sin-PI/6_binary64_21662` `sub-1-sin_binary64_21661` `sub-1-cos_binary64_21660` `-1-add-sin_binary64_21659` `-1-add-cos_binary64_21658` `1-sub-sin_binary64_21657` `1-sub-cos_binary64_21656` `cos-sin-sum_binary64_21655` `log-E_binary64_21651` `log-pow_binary64_21650` `log-rec_binary64_21649` `log-div_binary64_21648` `log-prod_binary64_21647` `pow-base-0_binary64_21645` `unpow1/3_binary64_21628` `unpow3_binary64_21627` `unpow2_binary64_21626` `unpow1/2_binary64_21625` `pow-plus_binary64_21624` `exp-to-pow_binary64_21623` `pow-base-1_binary64_21621` `unpow0_binary64_21620` `unpow1_binary64_21619` `unpow-1_binary64_21618` `exp-lft-cube_binary64_21617` `exp-lft-sqr_binary64_21616` `exp-cbrt_binary64_21615` `exp-sqrt_binary64_21614` `exp-prod_binary64_21613` `div-exp_binary64_21612` `rec-exp_binary64_21611` `prod-exp_binary64_21610` `exp-diff_binary64_21609` `exp-neg_binary64_21608` `exp-sum_binary64_21607` `e-exp-1_binary64_21606` `exp-1-e_binary64_21604` `exp-0_binary64_21603` `rem-log-exp_binary64_21602` `rem-exp-log_binary64_21601` `cube-unmult_binary64_21598` `cube-mult_binary64_21591` `cube-div_binary64_21590` `cube-prod_binary64_21589` `cube-neg_binary64_21588` `rem-3cbrt-rft_binary64_21587` `rem-3cbrt-lft_binary64_21586` `rem-cbrt-cube_binary64_21585` `rem-cube-cbrt_binary64_21584` `sqr-abs_binary64_21576` `sqr-neg_binary64_21575` `rem-sqrt-square_binary64_21574` `rem-square-sqrt_binary64_21573` `times-frac_binary64_21567` `div-sub_binary64_21566` `/-rgt-identity_binary64_21552` `+-lft-identity_binary64_21545` `div0_binary64_21542` `-inverses_binary64_21541` `+-inverses_binary64_21540` `lft-mult-inverse_binary64_21539` `rgt-mult-inverse_binary64_21538` `remove-double-div_binary64_21537` `pow-sqr_binary64_21534` `sqr-pow_binary64_21533` `difference-of-sqr--1_binary64_21532` `difference-of-sqr-1_binary64_21531` `difference-of-squares_binary64_21530` `unswap-sqr_binary64_21529` `swap-sqr_binary64_21528` `cancel-sign-sub_binary64_21526` `distribute-neg-frac_binary64_21525` `distribute-frac-neg_binary64_21524` `count-2_binary64_21509` `associate-/l/_binary64_21508` `associate-/r/_binary64_21507` `associate-/l_binary64_21506` `associate-/r_binary64_21505` `associate-l/_binary64_21504` `associate-*r/_binary64_21503`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	91
1	55	91
2	147	91
3	471	91
4	1289	91
5	2036	91
6	3909	91
7	4594	91
8	5196	91
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
12.5%	85.6%	1.9%	11
19.8%	76.5%	3.7%	12
26.1%	64.4%	9.6%	13
31.7%	54.5%	13.7%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample27.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	88×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify123.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

683×	`unsub-neg_binary64_21555`
313×	`distribute-rgt-in_binary64_21511`
306×	`sub-neg_binary64_21554`
236×	`associate-+l+_binary64_21494`
225×	`distribute-neg-in_binary64_21522`
224×	`cancel-sign-sub-inv_binary64_21527`
204×	`associate-+r+_binary64_21493`
201×	`associate--r-_binary64_21500`
194×	`associate-+l-_binary64_21496`
174×	`distribute-neg-out_binary64_21523`
114×	`neg-sub0_binary64_21556` `distribute-lft-in_binary64_21510`
96×	`distribute-lft-neg-out_binary64_21520`
95×	`neg-mul-1_binary64_21557`
92×	`associate--r+_binary64_21497`
86×	`+-commutative_binary64_21491`
78×	`associate--l+_binary64_21498` `*-commutative_binary64_21492`
77×	`distribute-rgt-neg-in_binary64_21519`
71×	`distribute-rgt-neg-out_binary64_21521`
58×	`sub0-neg_binary64_21548`
56×	`associate-l_binary64_21502`
55×	`associate-r_binary64_21501`
53×	`distribute-lft-neg-in_binary64_21518` `distribute-rgt-out--_binary64_21515`
50×	`remove-double-neg_binary64_21549`
43×	`associate-+r-_binary64_21495`
42×	`distribute-rgt-out_binary64_21514`
28×	`distribute-lft-out_binary64_21512`
16×	`*-rgt-identity_binary64_21551` `mul0-rgt_binary64_21544` `mul0-lft_binary64_21543` `distribute-lft-out--_binary64_21513`
11×	`+-rgt-identity_binary64_21546`
10×	`associate--l-_binary64_21499`
7×	`--rgt-identity_binary64_21547`
5×	`*-lft-identity_binary64_21550` `distribute-lft1-in_binary64_21516`
4×	`distribute-rgt1-in_binary64_21517`
2×	`mul-1-neg_binary64_21553`
1×	`1-exp_binary64_21605`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_21824` `erf-erfc_binary64_21823` `erf-odd_binary64_21822` `if-if-and-not_binary64_21821` `if-if-and_binary64_21820` `if-if-or-not_binary64_21819` `if-if-or_binary64_21818` `if-not_binary64_21817` `if-same_binary64_21816` `if-false_binary64_21815` `if-true_binary64_21814` `not-gte_binary64_21813` `not-lte_binary64_21812` `not-gt_binary64_21811` `not-lt_binary64_21810` `gte-same_binary64_21809` `lte-same_binary64_21808` `gt-same_binary64_21807` `lt-same_binary64_21806` `sinh---cosh_binary64_21753` `sinh-+-cosh_binary64_21752` `sinh-cosh_binary64_21751` `tanh-def-c_binary64_21750` `tanh-def-b_binary64_21749` `tanh-def-a_binary64_21748` `cosh-def_binary64_21747` `sinh-def_binary64_21746` `tan-neg_binary64_21693` `cos-neg_binary64_21692` `sin-neg_binary64_21691` `tan-0_binary64_21690` `cos-0_binary64_21689` `sin-0_binary64_21688` `hang-m-tan_binary64_21687` `hang-p-tan_binary64_21686` `hang-m0-tan_binary64_21685` `hang-p0-tan_binary64_21684` `hang-0m-tan_binary64_21683` `hang-0p-tan_binary64_21682` `tan-+PI/2_binary64_21681` `tan-+PI_binary64_21680` `tan-PI_binary64_21679` `tan-PI/3_binary64_21678` `tan-PI/4_binary64_21677` `tan-PI/6_binary64_21676` `cos-+PI/2_binary64_21675` `cos-+PI_binary64_21674` `cos-PI_binary64_21673` `cos-PI/2_binary64_21672` `cos-PI/3_binary64_21671` `cos-PI/4_binary64_21670` `cos-PI/6_binary64_21669` `sin-+PI/2_binary64_21668` `sin-+PI_binary64_21667` `sin-PI_binary64_21666` `sin-PI/2_binary64_21665` `sin-PI/3_binary64_21664` `sin-PI/4_binary64_21663` `sin-PI/6_binary64_21662` `sub-1-sin_binary64_21661` `sub-1-cos_binary64_21660` `-1-add-sin_binary64_21659` `-1-add-cos_binary64_21658` `1-sub-sin_binary64_21657` `1-sub-cos_binary64_21656` `cos-sin-sum_binary64_21655` `log-E_binary64_21651` `log-pow_binary64_21650` `log-rec_binary64_21649` `log-div_binary64_21648` `log-prod_binary64_21647` `pow-base-0_binary64_21645` `unpow1/3_binary64_21628` `unpow3_binary64_21627` `unpow2_binary64_21626` `unpow1/2_binary64_21625` `pow-plus_binary64_21624` `exp-to-pow_binary64_21623` `pow-base-1_binary64_21621` `unpow0_binary64_21620` `unpow1_binary64_21619` `unpow-1_binary64_21618` `exp-lft-cube_binary64_21617` `exp-lft-sqr_binary64_21616` `exp-cbrt_binary64_21615` `exp-sqrt_binary64_21614` `exp-prod_binary64_21613` `div-exp_binary64_21612` `rec-exp_binary64_21611` `prod-exp_binary64_21610` `exp-diff_binary64_21609` `exp-neg_binary64_21608` `exp-sum_binary64_21607` `e-exp-1_binary64_21606` `exp-1-e_binary64_21604` `exp-0_binary64_21603` `rem-log-exp_binary64_21602` `rem-exp-log_binary64_21601` `cube-unmult_binary64_21598` `cube-mult_binary64_21591` `cube-div_binary64_21590` `cube-prod_binary64_21589` `cube-neg_binary64_21588` `rem-3cbrt-rft_binary64_21587` `rem-3cbrt-lft_binary64_21586` `rem-cbrt-cube_binary64_21585` `rem-cube-cbrt_binary64_21584` `sqr-abs_binary64_21576` `sqr-neg_binary64_21575` `rem-sqrt-square_binary64_21574` `rem-square-sqrt_binary64_21573` `times-frac_binary64_21567` `div-sub_binary64_21566` `/-rgt-identity_binary64_21552` `+-lft-identity_binary64_21545` `div0_binary64_21542` `-inverses_binary64_21541` `+-inverses_binary64_21540` `lft-mult-inverse_binary64_21539` `rgt-mult-inverse_binary64_21538` `remove-double-div_binary64_21537` `pow-sqr_binary64_21534` `sqr-pow_binary64_21533` `difference-of-sqr--1_binary64_21532` `difference-of-sqr-1_binary64_21531` `difference-of-squares_binary64_21530` `unswap-sqr_binary64_21529` `swap-sqr_binary64_21528` `cancel-sign-sub_binary64_21526` `distribute-neg-frac_binary64_21525` `distribute-frac-neg_binary64_21524` `count-2_binary64_21509` `associate-/l/_binary64_21508` `associate-/r/_binary64_21507` `associate-/l_binary64_21506` `associate-/r_binary64_21505` `associate-l/_binary64_21504` `associate-*r/_binary64_21503`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	15	13
2	35	13
3	97	13
4	291	13
5	549	13
6	1136	13
7	1453	13
8	1744	13
9	1655	13
10	1663	13
11	1663	13
12	1664	13
13	1634	13
14	1634	13
15	1641	13
16	1582	13

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.0b

Counts

1 → 1

Compiler

Compiled 9 to 8 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
0.0b	(*.f64 (-.f64 y z) (-.f64 t x))

rewrite70.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_21583`
12×	`*-un-lft-identity_binary64_21561` `cancel-sign-sub-inv_binary64_21527`
8×	`add-cube-cbrt_binary64_21596` `distribute-rgt-in_binary64_21511` `distribute-lft-in_binary64_21510` `associate-+r+_binary64_21493`
6×	`flip3--_binary64_21565` `flip--_binary64_21536`
5×	`associate-l_binary64_21502` `associate-r_binary64_21501`
4×	`pow1_binary64_21622` `add-exp-log_binary64_21599` `add-log-exp_binary64_21600` `add-cbrt-cube_binary64_21597` `frac-times_binary64_21571` `sub-neg_binary64_21554`
2×	`associate-l/_binary64_21504` `associate-r/_binary64_21503` `difference-of-squares_binary64_21530` `distribute-lft-out--_binary64_21513`
1×	`pow-prod-down_binary64_21632` `prod-exp_binary64_21610` `cbrt-unprod_binary64_21594` `unswap-sqr_binary64_21529` `*-commutative_binary64_21492` `sum-log_binary64_21652` `flip3-+_binary64_21564` `flip-+_binary64_21535` `+-commutative_binary64_21491`

Counts

2 → 57

Calls

2 calls:

11.0ms	(*.f64 (-.f64 y z) (-.f64 t x))
5.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))

Compiler

Compiled 1056 to 258 computations (75.6% saved)

series713.0ms (7.1%)

Error

0.0b

Counts

2 → 48

Calls

2 calls:

398.0ms	(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
285.0ms	(*.f64 (-.f64 y z) (-.f64 t x))

Compiler

Compiled 1588 to 833 computations (47.5% saved)

simplify103.0ms (1%)

Algorithm

1×	egg-herbie

Rules

370×	`exp-diff_binary64_21609`
335×	`*-commutative_binary64_21492`
301×	`exp-sum_binary64_21607`
289×	`exp-prod_binary64_21613`
237×	`unsub-neg_binary64_21555`
224×	`cancel-sign-sub-inv_binary64_21527`
208×	`sub-neg_binary64_21554`
200×	`associate-+l-_binary64_21496`
195×	`distribute-rgt-neg-out_binary64_21521`
190×	`distribute-lft-neg-out_binary64_21520`
177×	`distribute-rgt-neg-in_binary64_21519`
158×	`neg-sub0_binary64_21556`
154×	`+-commutative_binary64_21491`
149×	`neg-mul-1_binary64_21557` `associate--r+_binary64_21497`
144×	`distribute-lft-neg-in_binary64_21518`
134×	`associate--l+_binary64_21498`
124×	`associate-+l+_binary64_21494`
115×	`distribute-rgt-in_binary64_21511`
113×	`associate-+r-_binary64_21495`
107×	`associate-+r+_binary64_21493`
105×	`distribute-lft-in_binary64_21510`
97×	`associate-l_binary64_21502`
91×	`distribute-neg-in_binary64_21522`
83×	`associate-r_binary64_21501`
74×	`distribute-rgt-out_binary64_21514`
48×	`associate--r-_binary64_21500`
47×	`sqr-pow_binary64_21533`
31×	`associate--l-_binary64_21499`
27×	`remove-double-neg_binary64_21549`
26×	`log-prod_binary64_21647` `+-rgt-identity_binary64_21546`
25×	`cube-prod_binary64_21589`
23×	`exp-neg_binary64_21608`
22×	`*-lft-identity_binary64_21550` `unswap-sqr_binary64_21529` `distribute-rgt-out--_binary64_21515`
20×	`*-rgt-identity_binary64_21551` `sub0-neg_binary64_21548`
18×	`distribute-neg-out_binary64_21523`
16×	`difference-of-squares_binary64_21530` `swap-sqr_binary64_21528`
12×	`unpow3_binary64_21627`
11×	`associate-/l*_binary64_21506`
10×	`distribute-lft-out_binary64_21512`
9×	`mul-1-neg_binary64_21553`
8×	`div-sub_binary64_21566`
6×	`pow-sqr_binary64_21534`
5×	`cube-mult_binary64_21591` `distribute-lft-out--_binary64_21513`
4×	`distribute-rgt1-in_binary64_21517`
3×	`cube-unmult_binary64_21598` `cube-neg_binary64_21588` `sqr-neg_binary64_21575` `cancel-sign-sub_binary64_21526`
2×	`unpow1/2_binary64_21625` `distribute-frac-neg_binary64_21524` `associate-*r/_binary64_21503`
1×	`prod-exp_binary64_21610` `1-exp_binary64_21605` `exp-1-e_binary64_21604` `rem-3cbrt-lft_binary64_21586` `rem-sqrt-square_binary64_21574` `rem-square-sqrt_binary64_21573` `distribute-lft1-in_binary64_21516` `count-2_binary64_21509` `associate-/l/_binary64_21508` `associate-*l/_binary64_21504`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_21824` `erf-erfc_binary64_21823` `erf-odd_binary64_21822` `if-if-and-not_binary64_21821` `if-if-and_binary64_21820` `if-if-or-not_binary64_21819` `if-if-or_binary64_21818` `if-not_binary64_21817` `if-same_binary64_21816` `if-false_binary64_21815` `if-true_binary64_21814` `not-gte_binary64_21813` `not-lte_binary64_21812` `not-gt_binary64_21811` `not-lt_binary64_21810` `gte-same_binary64_21809` `lte-same_binary64_21808` `gt-same_binary64_21807` `lt-same_binary64_21806` `sinh---cosh_binary64_21753` `sinh-+-cosh_binary64_21752` `sinh-cosh_binary64_21751` `tanh-def-c_binary64_21750` `tanh-def-b_binary64_21749` `tanh-def-a_binary64_21748` `cosh-def_binary64_21747` `sinh-def_binary64_21746` `tan-neg_binary64_21693` `cos-neg_binary64_21692` `sin-neg_binary64_21691` `tan-0_binary64_21690` `cos-0_binary64_21689` `sin-0_binary64_21688` `hang-m-tan_binary64_21687` `hang-p-tan_binary64_21686` `hang-m0-tan_binary64_21685` `hang-p0-tan_binary64_21684` `hang-0m-tan_binary64_21683` `hang-0p-tan_binary64_21682` `tan-+PI/2_binary64_21681` `tan-+PI_binary64_21680` `tan-PI_binary64_21679` `tan-PI/3_binary64_21678` `tan-PI/4_binary64_21677` `tan-PI/6_binary64_21676` `cos-+PI/2_binary64_21675` `cos-+PI_binary64_21674` `cos-PI_binary64_21673` `cos-PI/2_binary64_21672` `cos-PI/3_binary64_21671` `cos-PI/4_binary64_21670` `cos-PI/6_binary64_21669` `sin-+PI/2_binary64_21668` `sin-+PI_binary64_21667` `sin-PI_binary64_21666` `sin-PI/2_binary64_21665` `sin-PI/3_binary64_21664` `sin-PI/4_binary64_21663` `sin-PI/6_binary64_21662` `sub-1-sin_binary64_21661` `sub-1-cos_binary64_21660` `-1-add-sin_binary64_21659` `-1-add-cos_binary64_21658` `1-sub-sin_binary64_21657` `1-sub-cos_binary64_21656` `cos-sin-sum_binary64_21655` `log-E_binary64_21651` `log-pow_binary64_21650` `log-rec_binary64_21649` `log-div_binary64_21648` `pow-base-0_binary64_21645` `unpow1/3_binary64_21628` `unpow2_binary64_21626` `pow-plus_binary64_21624` `exp-to-pow_binary64_21623` `pow-base-1_binary64_21621` `unpow0_binary64_21620` `unpow1_binary64_21619` `unpow-1_binary64_21618` `exp-lft-cube_binary64_21617` `exp-lft-sqr_binary64_21616` `exp-cbrt_binary64_21615` `exp-sqrt_binary64_21614` `div-exp_binary64_21612` `rec-exp_binary64_21611` `e-exp-1_binary64_21606` `exp-0_binary64_21603` `rem-log-exp_binary64_21602` `rem-exp-log_binary64_21601` `cube-div_binary64_21590` `rem-3cbrt-rft_binary64_21587` `rem-cbrt-cube_binary64_21585` `rem-cube-cbrt_binary64_21584` `sqr-abs_binary64_21576` `times-frac_binary64_21567` `/-rgt-identity_binary64_21552` `--rgt-identity_binary64_21547` `+-lft-identity_binary64_21545` `mul0-rgt_binary64_21544` `mul0-lft_binary64_21543` `div0_binary64_21542` `-inverses_binary64_21541` `+-inverses_binary64_21540` `lft-mult-inverse_binary64_21539` `rgt-mult-inverse_binary64_21538` `remove-double-div_binary64_21537` `difference-of-sqr--1_binary64_21532` `difference-of-sqr-1_binary64_21531` `distribute-neg-frac_binary64_21525` `associate-/r/_binary64_21507` `associate-/r_binary64_21505`

Counts

105 → 82

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	151	1771
1	416	1657
2	1365	1382
3	2308	1382
4	4300	1382
5	5123	1382

prune65.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	4	83

Error

Counts

83 → 4

Compiler

Compiled 1116 to 239 computations (78.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y)))
0.0b	(+.f64 x (+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y))))
0.0b	(*.f64 x (-.f64 z y))
0.0b	(*.f64 t (-.f64 y z))

rewrite145.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64_21583` `cancel-sign-sub-inv_binary64_21527`
22×	`*-un-lft-identity_binary64_21561`
16×	`add-cube-cbrt_binary64_21596` `distribute-rgt-in_binary64_21511` `distribute-lft-in_binary64_21510`
12×	`associate-*r/_binary64_21503`
11×	`add-log-exp_binary64_21600`
10×	`associate-r_binary64_21501`
9×	`associate-+r+_binary64_21493`
8×	`pow1_binary64_21622` `add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `sub-neg_binary64_21554` `associate-+l+_binary64_21494`
6×	`flip3--_binary64_21565` `flip--_binary64_21536` `associate-l_binary64_21502`
4×	`sum-log_binary64_21652` `frac-add_binary64_21569`
2×	`pow-prod-down_binary64_21632` `prod-exp_binary64_21610` `cbrt-unprod_binary64_21594` `unswap-sqr_binary64_21529` `difference-of-squares_binary64_21530` `distribute-lft-out--_binary64_21513` `*-commutative_binary64_21492` `flip3-+_binary64_21564` `flip-+_binary64_21535` `+-commutative_binary64_21491`
1×	`distribute-lft-out_binary64_21512`

Counts

4 → 105

Calls

4 calls:

11.0ms	(+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y)))
8.0ms	(+.f64 x (+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y))))
8.0ms	(*.f64 t (-.f64 y z))
8.0ms	(*.f64 x (-.f64 z y))

Compiler

Compiled 2309 to 524 computations (77.3% saved)

series1.1s (11.2%)

Error

Counts

4 → 78

Calls

4 calls:

418.0ms	(+.f64 x (+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y))))
376.0ms	(+.f64 (.f64 t (-.f64 y z)) (.f64 x (-.f64 z y)))
141.0ms	(*.f64 t (-.f64 y z))
134.0ms	(*.f64 x (-.f64 z y))

Compiler

Compiled 2658 to 1375 computations (48.3% saved)

simplify123.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

386×	`associate-+l+_binary64_21494`
351×	`associate-+r+_binary64_21493`
295×	`exp-prod_binary64_21613`
245×	`cancel-sign-sub-inv_binary64_21527`
233×	`associate-l_binary64_21502`
209×	`associate-r_binary64_21501`
178×	`*-commutative_binary64_21492`
175×	`distribute-rgt-in_binary64_21511`
166×	`distribute-lft-in_binary64_21510`
138×	`distribute-rgt-neg-in_binary64_21519`
122×	`sub-neg_binary64_21554`
118×	`associate--r+_binary64_21497`
110×	`associate--l+_binary64_21498`
94×	`distribute-lft-neg-out_binary64_21520`
93×	`distribute-lft-neg-in_binary64_21518`
89×	`distribute-rgt-neg-out_binary64_21521`
88×	`associate-+l-_binary64_21496`
76×	`distribute-neg-in_binary64_21522`
71×	`+-commutative_binary64_21491`
68×	`associate-+r-_binary64_21495`
60×	`unsub-neg_binary64_21555`
57×	`neg-sub0_binary64_21556`
53×	`distribute-rgt-out_binary64_21514`
48×	`neg-mul-1_binary64_21557`
44×	`distribute-rgt-out--_binary64_21515`
37×	`*-lft-identity_binary64_21550`
36×	`log-prod_binary64_21647` `unswap-sqr_binary64_21529`
35×	`exp-sum_binary64_21607` `sqr-pow_binary64_21533`
30×	`*-rgt-identity_binary64_21551`
28×	`associate--r-_binary64_21500`
22×	`cube-prod_binary64_21589` `distribute-lft-out_binary64_21512`
20×	`exp-diff_binary64_21609`
18×	`associate--l-_binary64_21499`
15×	`cancel-sign-sub_binary64_21526`
13×	`unpow3_binary64_21627`
12×	`swap-sqr_binary64_21528`
11×	`mul-1-neg_binary64_21553`
10×	`difference-of-squares_binary64_21530` `distribute-lft-out--_binary64_21513`
6×	`cube-mult_binary64_21591` `remove-double-neg_binary64_21549` `associate-l/_binary64_21504` `associate-r/_binary64_21503`
5×	`prod-exp_binary64_21610`
4×	`exp-neg_binary64_21608` `div-sub_binary64_21566` `distribute-rgt1-in_binary64_21517`
3×	`pow-plus_binary64_21624` `cube-unmult_binary64_21598` `+-rgt-identity_binary64_21546`
2×	`unpow1/2_binary64_21625` `rem-3cbrt-lft_binary64_21586` `rem-sqrt-square_binary64_21574` `rem-square-sqrt_binary64_21573` `pow-sqr_binary64_21534`
1×	`1-exp_binary64_21605` `exp-1-e_binary64_21604` `difference-of-sqr-1_binary64_21531` `distribute-neg-out_binary64_21523`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_21824` `erf-erfc_binary64_21823` `erf-odd_binary64_21822` `if-if-and-not_binary64_21821` `if-if-and_binary64_21820` `if-if-or-not_binary64_21819` `if-if-or_binary64_21818` `if-not_binary64_21817` `if-same_binary64_21816` `if-false_binary64_21815` `if-true_binary64_21814` `not-gte_binary64_21813` `not-lte_binary64_21812` `not-gt_binary64_21811` `not-lt_binary64_21810` `gte-same_binary64_21809` `lte-same_binary64_21808` `gt-same_binary64_21807` `lt-same_binary64_21806` `sinh---cosh_binary64_21753` `sinh-+-cosh_binary64_21752` `sinh-cosh_binary64_21751` `tanh-def-c_binary64_21750` `tanh-def-b_binary64_21749` `tanh-def-a_binary64_21748` `cosh-def_binary64_21747` `sinh-def_binary64_21746` `tan-neg_binary64_21693` `cos-neg_binary64_21692` `sin-neg_binary64_21691` `tan-0_binary64_21690` `cos-0_binary64_21689` `sin-0_binary64_21688` `hang-m-tan_binary64_21687` `hang-p-tan_binary64_21686` `hang-m0-tan_binary64_21685` `hang-p0-tan_binary64_21684` `hang-0m-tan_binary64_21683` `hang-0p-tan_binary64_21682` `tan-+PI/2_binary64_21681` `tan-+PI_binary64_21680` `tan-PI_binary64_21679` `tan-PI/3_binary64_21678` `tan-PI/4_binary64_21677` `tan-PI/6_binary64_21676` `cos-+PI/2_binary64_21675` `cos-+PI_binary64_21674` `cos-PI_binary64_21673` `cos-PI/2_binary64_21672` `cos-PI/3_binary64_21671` `cos-PI/4_binary64_21670` `cos-PI/6_binary64_21669` `sin-+PI/2_binary64_21668` `sin-+PI_binary64_21667` `sin-PI_binary64_21666` `sin-PI/2_binary64_21665` `sin-PI/3_binary64_21664` `sin-PI/4_binary64_21663` `sin-PI/6_binary64_21662` `sub-1-sin_binary64_21661` `sub-1-cos_binary64_21660` `-1-add-sin_binary64_21659` `-1-add-cos_binary64_21658` `1-sub-sin_binary64_21657` `1-sub-cos_binary64_21656` `cos-sin-sum_binary64_21655` `log-E_binary64_21651` `log-pow_binary64_21650` `log-rec_binary64_21649` `log-div_binary64_21648` `pow-base-0_binary64_21645` `unpow1/3_binary64_21628` `unpow2_binary64_21626` `exp-to-pow_binary64_21623` `pow-base-1_binary64_21621` `unpow0_binary64_21620` `unpow1_binary64_21619` `unpow-1_binary64_21618` `exp-lft-cube_binary64_21617` `exp-lft-sqr_binary64_21616` `exp-cbrt_binary64_21615` `exp-sqrt_binary64_21614` `div-exp_binary64_21612` `rec-exp_binary64_21611` `e-exp-1_binary64_21606` `exp-0_binary64_21603` `rem-log-exp_binary64_21602` `rem-exp-log_binary64_21601` `cube-div_binary64_21590` `cube-neg_binary64_21588` `rem-3cbrt-rft_binary64_21587` `rem-cbrt-cube_binary64_21585` `rem-cube-cbrt_binary64_21584` `sqr-abs_binary64_21576` `sqr-neg_binary64_21575` `times-frac_binary64_21567` `/-rgt-identity_binary64_21552` `sub0-neg_binary64_21548` `--rgt-identity_binary64_21547` `+-lft-identity_binary64_21545` `mul0-rgt_binary64_21544` `mul0-lft_binary64_21543` `div0_binary64_21542` `-inverses_binary64_21541` `+-inverses_binary64_21540` `lft-mult-inverse_binary64_21539` `rgt-mult-inverse_binary64_21538` `remove-double-div_binary64_21537` `difference-of-sqr--1_binary64_21532` `distribute-neg-frac_binary64_21525` `distribute-frac-neg_binary64_21524` `distribute-lft1-in_binary64_21516` `count-2_binary64_21509` `associate-/l/_binary64_21508` `associate-/r/_binary64_21507` `associate-/l_binary64_21506` `associate-/r*_binary64_21505`

Counts

183 → 127

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	229	2709
1	633	2498
2	2203	2477
3	4916	2477
4	5147	2477

prune93.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	129	2	131

Error

Counts

131 → 2

Compiler

Compiled 1959 to 258 computations (86.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 y t) (-.f64 (.f64 x (-.f64 z y)) (*.f64 t z))))
0.0b	(-.f64 (.f64 x (-.f64 z y)) (.f64 t z))
0.0b	(*.f64 x (-.f64 z y))
0.0b	(+.f64 (.f64 y t) (-.f64 (.f64 x (-.f64 z y)) (*.f64 t z)))

rewrite133.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-log-exp_binary64_21600` `cancel-sign-sub-inv_binary64_21527`
16×	`add-sqr-sqrt_binary64_21583` `*-un-lft-identity_binary64_21561` `associate--l+_binary64_21498`
12×	`add-cube-cbrt_binary64_21596` `distribute-rgt-in_binary64_21511` `distribute-lft-in_binary64_21510`
11×	`associate-+r+_binary64_21493`
8×	`sub-neg_binary64_21554`
7×	`sum-log_binary64_21652`
6×	`pow1_binary64_21622` `add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597`
5×	`associate-r_binary64_21501`
3×	`diff-log_binary64_21653` `associate-+r-_binary64_21495` `associate-l_binary64_21502`
2×	`flip3-+_binary64_21564` `flip-+_binary64_21535` `+-commutative_binary64_21491` `flip3--_binary64_21565` `associate-*r/_binary64_21503` `flip--_binary64_21536`
1×	`pow-prod-down_binary64_21632` `prod-exp_binary64_21610` `cbrt-unprod_binary64_21594` `unswap-sqr_binary64_21529` `difference-of-squares_binary64_21530` `distribute-lft-out--_binary64_21513` `*-commutative_binary64_21492` `distribute-lft-out_binary64_21512`

Counts

4 → 89

Calls

4 calls:

11.0ms	(+.f64 x (+.f64 (.f64 y t) (-.f64 (.f64 x (-.f64 z y)) (*.f64 t z))))
11.0ms	(+.f64 (.f64 y t) (-.f64 (.f64 x (-.f64 z y)) (*.f64 t z)))
8.0ms	(-.f64 (.f64 x (-.f64 z y)) (.f64 t z))
8.0ms	(*.f64 x (-.f64 z y))

Compiler

Compiled 2105 to 432 computations (79.5% saved)

series1.3s (12.8%)

Error

Counts

4 → 87

Calls

4 calls:

412.0ms	(+.f64 x (+.f64 (.f64 y t) (-.f64 (.f64 x (-.f64 z y)) (*.f64 t z))))
383.0ms	(+.f64 (.f64 y t) (-.f64 (.f64 x (-.f64 z y)) (*.f64 t z)))
292.0ms	(-.f64 (.f64 x (-.f64 z y)) (.f64 t z))
146.0ms	(*.f64 x (-.f64 z y))

Compiler

Compiled 3097 to 1586 computations (48.8% saved)

simplify142.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

533×	`unsub-neg_binary64_21555`
371×	`*-commutative_binary64_21492`
246×	`associate-+l+_binary64_21494`
216×	`neg-sub0_binary64_21556`
209×	`cancel-sign-sub-inv_binary64_21527`
206×	`associate-+r+_binary64_21493`
202×	`neg-mul-1_binary64_21557`
192×	`exp-prod_binary64_21613`
177×	`exp-sum_binary64_21607`
176×	`+-commutative_binary64_21491`
145×	`associate-l_binary64_21502`
140×	`sub-neg_binary64_21554`
126×	`exp-diff_binary64_21609` `associate-r_binary64_21501` `associate--l+_binary64_21498`
113×	`times-frac_binary64_21567`
111×	`associate--r+_binary64_21497`
110×	`distribute-rgt-neg-in_binary64_21519`
96×	`associate-+l-_binary64_21496`
93×	`distribute-rgt-in_binary64_21511`
88×	`distribute-lft-neg-out_binary64_21520`
86×	`distribute-lft-neg-in_binary64_21518`
82×	`distribute-lft-in_binary64_21510`
79×	`distribute-rgt-neg-out_binary64_21521`
70×	`distribute-neg-in_binary64_21522`
52×	`associate-+r-_binary64_21495`
45×	`cube-prod_binary64_21589`
40×	`sqr-pow_binary64_21533`
37×	`log-prod_binary64_21647`
36×	`distribute-rgt-out_binary64_21514`
31×	`associate--r-_binary64_21500`
28×	`unswap-sqr_binary64_21529`
25×	`*-lft-identity_binary64_21550`
23×	`associate--l-_binary64_21499`
22×	`*-rgt-identity_binary64_21551`
20×	`unpow3_binary64_21627`
19×	`distribute-lft-out_binary64_21512`
17×	`prod-exp_binary64_21610`
16×	`exp-neg_binary64_21608`
15×	`distribute-rgt-out--_binary64_21515`
10×	`mul-1-neg_binary64_21553` `swap-sqr_binary64_21528`
9×	`cube-mult_binary64_21591` `associate-/l_binary64_21506` `associate-l/_binary64_21504` `associate-*r/_binary64_21503`
8×	`div-exp_binary64_21612` `+-rgt-identity_binary64_21546` `difference-of-squares_binary64_21530` `cancel-sign-sub_binary64_21526`
5×	`distribute-neg-out_binary64_21523` `associate-/r*_binary64_21505`
4×	`div-sub_binary64_21566` `distribute-lft-out--_binary64_21513`
3×	`pow-plus_binary64_21624` `cube-unmult_binary64_21598` `cube-neg_binary64_21588` `sqr-neg_binary64_21575` `pow-sqr_binary64_21534` `distribute-rgt1-in_binary64_21517`
2×	`remove-double-neg_binary64_21549` `associate-/r/_binary64_21507`
1×	`unpow1/2_binary64_21625` `1-exp_binary64_21605` `exp-1-e_binary64_21604` `rem-3cbrt-lft_binary64_21586` `rem-sqrt-square_binary64_21574` `rem-square-sqrt_binary64_21573` `difference-of-sqr-1_binary64_21531`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_21824` `erf-erfc_binary64_21823` `erf-odd_binary64_21822` `if-if-and-not_binary64_21821` `if-if-and_binary64_21820` `if-if-or-not_binary64_21819` `if-if-or_binary64_21818` `if-not_binary64_21817` `if-same_binary64_21816` `if-false_binary64_21815` `if-true_binary64_21814` `not-gte_binary64_21813` `not-lte_binary64_21812` `not-gt_binary64_21811` `not-lt_binary64_21810` `gte-same_binary64_21809` `lte-same_binary64_21808` `gt-same_binary64_21807` `lt-same_binary64_21806` `sinh---cosh_binary64_21753` `sinh-+-cosh_binary64_21752` `sinh-cosh_binary64_21751` `tanh-def-c_binary64_21750` `tanh-def-b_binary64_21749` `tanh-def-a_binary64_21748` `cosh-def_binary64_21747` `sinh-def_binary64_21746` `tan-neg_binary64_21693` `cos-neg_binary64_21692` `sin-neg_binary64_21691` `tan-0_binary64_21690` `cos-0_binary64_21689` `sin-0_binary64_21688` `hang-m-tan_binary64_21687` `hang-p-tan_binary64_21686` `hang-m0-tan_binary64_21685` `hang-p0-tan_binary64_21684` `hang-0m-tan_binary64_21683` `hang-0p-tan_binary64_21682` `tan-+PI/2_binary64_21681` `tan-+PI_binary64_21680` `tan-PI_binary64_21679` `tan-PI/3_binary64_21678` `tan-PI/4_binary64_21677` `tan-PI/6_binary64_21676` `cos-+PI/2_binary64_21675` `cos-+PI_binary64_21674` `cos-PI_binary64_21673` `cos-PI/2_binary64_21672` `cos-PI/3_binary64_21671` `cos-PI/4_binary64_21670` `cos-PI/6_binary64_21669` `sin-+PI/2_binary64_21668` `sin-+PI_binary64_21667` `sin-PI_binary64_21666` `sin-PI/2_binary64_21665` `sin-PI/3_binary64_21664` `sin-PI/4_binary64_21663` `sin-PI/6_binary64_21662` `sub-1-sin_binary64_21661` `sub-1-cos_binary64_21660` `-1-add-sin_binary64_21659` `-1-add-cos_binary64_21658` `1-sub-sin_binary64_21657` `1-sub-cos_binary64_21656` `cos-sin-sum_binary64_21655` `log-E_binary64_21651` `log-pow_binary64_21650` `log-rec_binary64_21649` `log-div_binary64_21648` `pow-base-0_binary64_21645` `unpow1/3_binary64_21628` `unpow2_binary64_21626` `exp-to-pow_binary64_21623` `pow-base-1_binary64_21621` `unpow0_binary64_21620` `unpow1_binary64_21619` `unpow-1_binary64_21618` `exp-lft-cube_binary64_21617` `exp-lft-sqr_binary64_21616` `exp-cbrt_binary64_21615` `exp-sqrt_binary64_21614` `rec-exp_binary64_21611` `e-exp-1_binary64_21606` `exp-0_binary64_21603` `rem-log-exp_binary64_21602` `rem-exp-log_binary64_21601` `cube-div_binary64_21590` `rem-3cbrt-rft_binary64_21587` `rem-cbrt-cube_binary64_21585` `rem-cube-cbrt_binary64_21584` `sqr-abs_binary64_21576` `/-rgt-identity_binary64_21552` `sub0-neg_binary64_21548` `--rgt-identity_binary64_21547` `+-lft-identity_binary64_21545` `mul0-rgt_binary64_21544` `mul0-lft_binary64_21543` `div0_binary64_21542` `*-inverses_binary64_21541` `+-inverses_binary64_21540` `lft-mult-inverse_binary64_21539` `rgt-mult-inverse_binary64_21538` `remove-double-div_binary64_21537` `difference-of-sqr--1_binary64_21532` `distribute-neg-frac_binary64_21525` `distribute-frac-neg_binary64_21524` `distribute-lft1-in_binary64_21516` `count-2_binary64_21509` `associate-/l/_binary64_21508`

Counts

176 → 145

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	2677
1	485	2398
2	1601	2386
3	3631	2386
4	4977	2386
5	4915	2386

prune105.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	145	2	147

Error

Counts

147 → 2

Compiler

Compiled 2338 to 290 computations (87.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.8b	(+.f64 (.f64 z z) (.f64 y z))
2.2b	(-.f64 (pow.f64 y 3) (pow.f64 z 3))
6.5b	(*.f64 (-.f64 t x) (-.f64 (pow.f64 y 3) (pow.f64 z 3)))
36.4b	(/.f64 (.f64 (-.f64 t x) (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (.f64 y y) (+.f64 (.f64 z z) (.f64 y z))))

rewrite357.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

69×	`add-sqr-sqrt_binary64_21583`
39×	`*-un-lft-identity_binary64_21561`
36×	`cancel-sign-sub-inv_binary64_21527`
33×	`unpow-prod-down_binary64_21640` `cube-prod_binary64_21589` `difference-of-squares_binary64_21530`
25×	`associate-r_binary64_21501`
19×	`sqr-pow_binary64_21533`
17×	`add-cube-cbrt_binary64_21596`
13×	`flip3--_binary64_21565` `flip--_binary64_21536` `distribute-rgt-in_binary64_21511` `distribute-lft-in_binary64_21510`
11×	`add-exp-log_binary64_21599` `add-cbrt-cube_binary64_21597` `distribute-lft-out--_binary64_21513`
8×	`add-log-exp_binary64_21600` `frac-times_binary64_21571` `associate-/l/_binary64_21508`
6×	`pow1_binary64_21622`
5×	`associate-l_binary64_21502`
4×	`associate-l/_binary64_21504` `associate-r/_binary64_21503`
3×	`times-frac_binary64_21567` `associate-/r*_binary64_21505` `sub-neg_binary64_21554` `unpow3_binary64_21627` `cube-mult_binary64_21591`
2×	`prod-exp_binary64_21610` `div-exp_binary64_21612` `cbrt-undiv_binary64_21595` `cbrt-unprod_binary64_21594` `flip3-+_binary64_21564` `associate-/r/_binary64_21507` `flip-+_binary64_21535` `difference-cubes_binary64_21563`
1×	`frac-2neg_binary64_21572` `clear-num_binary64_21560` `div-inv_binary64_21558` `associate-/l_binary64_21506` `pow-prod-down_binary64_21632` `unswap-sqr_binary64_21529` `-commutative_binary64_21492` `diff-log_binary64_21653` `sum-log_binary64_21652` `distribute-rgt-out_binary64_21514` `+-commutative_binary64_21491`

Counts

4 → 164

Calls

4 calls:

30.0ms	(*.f64 (-.f64 t x) (-.f64 (pow.f64 y 3) (pow.f64 z 3)))
28.0ms	(/.f64 (.f64 (-.f64 t x) (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (.f64 y y) (+.f64 (.f64 z z) (.f64 y z))))
14.0ms	(-.f64 (pow.f64 y 3) (pow.f64 z 3))
4.0ms	(+.f64 (.f64 z z) (.f64 y z))

Compiler

Compiled 6101 to 2442 computations (60% saved)

series2.2s (22.3%)

Error

Counts

4 → 72

Calls

4 calls:

1.2s	(/.f64 (.f64 (-.f64 t x) (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (.f64 y y) (+.f64 (.f64 z z) (.f64 y z))))
640.0ms	(*.f64 (-.f64 t x) (-.f64 (pow.f64 y 3) (pow.f64 z 3)))
207.0ms	(-.f64 (pow.f64 y 3) (pow.f64 z 3))
128.0ms	(+.f64 (.f64 z z) (.f64 y z))

Compiler

Compiled 5304 to 3260 computations (38.5% saved)

simplify153.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

513×	`times-frac_binary64_21567`
359×	`associate-l_binary64_21502` `associate-r_binary64_21501`
298×	`distribute-rgt-in_binary64_21511`
286×	`distribute-lft-in_binary64_21510`
160×	`*-commutative_binary64_21492`
118×	`div-sub_binary64_21566`
115×	`exp-prod_binary64_21613`
102×	`associate-/l*_binary64_21506`
68×	`cancel-sign-sub-inv_binary64_21527`
67×	`+-commutative_binary64_21491`
65×	`cube-prod_binary64_21589`
60×	`sub-neg_binary64_21554`
58×	`associate-*l/_binary64_21504`
44×	`distribute-rgt-neg-in_binary64_21519`
37×	`sqr-pow_binary64_21533` `distribute-lft-neg-in_binary64_21518`
34×	`neg-sub0_binary64_21556`
31×	`neg-mul-1_binary64_21557`
30×	`associate-*r/_binary64_21503`
29×	`unswap-sqr_binary64_21529`
27×	`associate-/r*_binary64_21505`
24×	`associate--r+_binary64_21497`
22×	`associate-/l/_binary64_21508`
20×	`unpow3_binary64_21627`
19×	`log-div_binary64_21648` `log-prod_binary64_21647` `distribute-lft-neg-out_binary64_21520`
18×	`associate-/r/_binary64_21507` `associate--l+_binary64_21498`
17×	`distribute-neg-in_binary64_21522`
16×	`cube-div_binary64_21590`
15×	`pow-plus_binary64_21624` `cube-mult_binary64_21591`
14×	`difference-of-squares_binary64_21530`
12×	`cube-unmult_binary64_21598` `associate-+r-_binary64_21495` `associate-+l+_binary64_21494`
10×	`exp-sum_binary64_21607` `rem-sqrt-square_binary64_21574` `swap-sqr_binary64_21528`
9×	`distribute-rgt-neg-out_binary64_21521` `associate-+r+_binary64_21493`
8×	`distribute-rgt-out--_binary64_21515`
7×	`exp-diff_binary64_21609`
6×	`distribute-rgt-out_binary64_21514`
5×	`pow-sqr_binary64_21534`
4×	`log-rec_binary64_21649` `mul-1-neg_binary64_21553` `/-rgt-identity_binary64_21552` `distribute-neg-frac_binary64_21525`
3×	`rem-square-sqrt_binary64_21573`
2×	`log-pow_binary64_21650` `unpow2_binary64_21626` `unpow1/2_binary64_21625` `unpow1_binary64_21619`
1×	`div-exp_binary64_21612` `prod-exp_binary64_21610` `1-exp_binary64_21605` `exp-1-e_binary64_21604` `rem-cbrt-cube_binary64_21585` `rem-cube-cbrt_binary64_21584` `unsub-neg_binary64_21555` `*-rgt-identity_binary64_21551` `associate-+l-_binary64_21496`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_21824` `erf-erfc_binary64_21823` `erf-odd_binary64_21822` `if-if-and-not_binary64_21821` `if-if-and_binary64_21820` `if-if-or-not_binary64_21819` `if-if-or_binary64_21818` `if-not_binary64_21817` `if-same_binary64_21816` `if-false_binary64_21815` `if-true_binary64_21814` `not-gte_binary64_21813` `not-lte_binary64_21812` `not-gt_binary64_21811` `not-lt_binary64_21810` `gte-same_binary64_21809` `lte-same_binary64_21808` `gt-same_binary64_21807` `lt-same_binary64_21806` `sinh---cosh_binary64_21753` `sinh-+-cosh_binary64_21752` `sinh-cosh_binary64_21751` `tanh-def-c_binary64_21750` `tanh-def-b_binary64_21749` `tanh-def-a_binary64_21748` `cosh-def_binary64_21747` `sinh-def_binary64_21746` `tan-neg_binary64_21693` `cos-neg_binary64_21692` `sin-neg_binary64_21691` `tan-0_binary64_21690` `cos-0_binary64_21689` `sin-0_binary64_21688` `hang-m-tan_binary64_21687` `hang-p-tan_binary64_21686` `hang-m0-tan_binary64_21685` `hang-p0-tan_binary64_21684` `hang-0m-tan_binary64_21683` `hang-0p-tan_binary64_21682` `tan-+PI/2_binary64_21681` `tan-+PI_binary64_21680` `tan-PI_binary64_21679` `tan-PI/3_binary64_21678` `tan-PI/4_binary64_21677` `tan-PI/6_binary64_21676` `cos-+PI/2_binary64_21675` `cos-+PI_binary64_21674` `cos-PI_binary64_21673` `cos-PI/2_binary64_21672` `cos-PI/3_binary64_21671` `cos-PI/4_binary64_21670` `cos-PI/6_binary64_21669` `sin-+PI/2_binary64_21668` `sin-+PI_binary64_21667` `sin-PI_binary64_21666` `sin-PI/2_binary64_21665` `sin-PI/3_binary64_21664` `sin-PI/4_binary64_21663` `sin-PI/6_binary64_21662` `sub-1-sin_binary64_21661` `sub-1-cos_binary64_21660` `-1-add-sin_binary64_21659` `-1-add-cos_binary64_21658` `1-sub-sin_binary64_21657` `1-sub-cos_binary64_21656` `cos-sin-sum_binary64_21655` `log-E_binary64_21651` `pow-base-0_binary64_21645` `unpow1/3_binary64_21628` `exp-to-pow_binary64_21623` `pow-base-1_binary64_21621` `unpow0_binary64_21620` `unpow-1_binary64_21618` `exp-lft-cube_binary64_21617` `exp-lft-sqr_binary64_21616` `exp-cbrt_binary64_21615` `exp-sqrt_binary64_21614` `rec-exp_binary64_21611` `exp-neg_binary64_21608` `e-exp-1_binary64_21606` `exp-0_binary64_21603` `rem-log-exp_binary64_21602` `rem-exp-log_binary64_21601` `cube-neg_binary64_21588` `rem-3cbrt-rft_binary64_21587` `rem-3cbrt-lft_binary64_21586` `sqr-abs_binary64_21576` `sqr-neg_binary64_21575` `-lft-identity_binary64_21550` `remove-double-neg_binary64_21549` `sub0-neg_binary64_21548` `--rgt-identity_binary64_21547` `+-rgt-identity_binary64_21546` `+-lft-identity_binary64_21545` `mul0-rgt_binary64_21544` `mul0-lft_binary64_21543` `div0_binary64_21542` `-inverses_binary64_21541` `+-inverses_binary64_21540` `lft-mult-inverse_binary64_21539` `rgt-mult-inverse_binary64_21538` `remove-double-div_binary64_21537` `difference-of-sqr--1_binary64_21532` `difference-of-sqr-1_binary64_21531` `cancel-sign-sub_binary64_21526` `distribute-frac-neg_binary64_21524` `distribute-neg-out_binary64_21523` `distribute-rgt1-in_binary64_21517` `distribute-lft1-in_binary64_21516` `distribute-lft-out--_binary64_21513` `distribute-lft-out_binary64_21512` `count-2_binary64_21509` `associate--r-_binary64_21500` `associate--l-_binary64_21499`

Counts

236 → 203

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	279	5453
1	780	5168
2	3821	5168
3	5162	5168

prune273.0ms (2.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	203	0	203
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	203	2	205

Error

Counts

205 → 2

Compiler

Compiled 6355 to 2269 computations (64.3% saved)

regimes516.0ms (5.2%)

Accuracy

Total 0.0b remaining (90.2%)

Threshold costs 0.0b (90.2%)

Compiler

Compiled 4299 to 3384 computations (21.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64_21491`
7×	`*-commutative_binary64_21492`
6×	`sub-neg_binary64_21554`
4×	`neg-mul-1_binary64_21557` `neg-sub0_binary64_21556`
2×	`cancel-sign-sub-inv_binary64_21527` `distribute-rgt-neg-in_binary64_21519`
1×	`distribute-lft-neg-out_binary64_21520` `distribute-lft-neg-in_binary64_21518`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_21821` `if-if-and_binary64_21820` `if-if-or-not_binary64_21819` `if-if-or_binary64_21818` `if-not_binary64_21817` `if-same_binary64_21816` `if-false_binary64_21815` `if-true_binary64_21814` `tan-0_binary64_21690` `cos-0_binary64_21689` `sin-0_binary64_21688` `unpow1_binary64_21619` `e-exp-1_binary64_21606` `1-exp_binary64_21605` `exp-1-e_binary64_21604` `exp-0_binary64_21603` `sqr-abs_binary64_21576` `sqr-neg_binary64_21575` `unsub-neg_binary64_21555` `mul-1-neg_binary64_21553` `/-rgt-identity_binary64_21552` `-rgt-identity_binary64_21551` `-lft-identity_binary64_21550` `remove-double-neg_binary64_21549` `sub0-neg_binary64_21548` `--rgt-identity_binary64_21547` `+-rgt-identity_binary64_21546` `+-lft-identity_binary64_21545` `cancel-sign-sub_binary64_21526` `distribute-neg-frac_binary64_21525` `distribute-frac-neg_binary64_21524` `distribute-neg-out_binary64_21523` `distribute-neg-in_binary64_21522` `distribute-rgt-neg-out_binary64_21521`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	24	22
2	37	22
3	45	22
4	50	22
5	51	22
6	51	22

end0.0ms (0%)

sample1.3s (13.2%)

Algorithm

1×

intervals

Results

215.0ms	8000×	body	128	valid
90.0ms	2605×	body	128	invalid

Compiler

Compiled 722 to 568 computations (21.3% saved)

Details

analyze851.0ms (8.5%)

sample27.0ms (0.3%)

simplify123.0ms (1.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite70.0ms (0.7%)

series713.0ms (7.1%)

simplify103.0ms (1%)

prune65.0ms (0.7%)

localize9.0ms (0.1%)

rewrite145.0ms (1.5%)

series1.1s (11.2%)

simplify123.0ms (1.2%)

prune93.0ms (0.9%)

localize10.0ms (0.1%)

rewrite133.0ms (1.3%)

series1.3s (12.8%)

simplify142.0ms (1.4%)

prune105.0ms (1%)

localize15.0ms (0.2%)

rewrite357.0ms (3.6%)

series2.2s (22.3%)

simplify153.0ms (1.5%)

prune273.0ms (2.7%)

regimes516.0ms (5.2%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.3s (13.2%)

Profiling